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110,396

110,396 is a composite number, even.

This number doesn't have a permanent NumberWiki page yet — what you see below is computed live. Pages get added to the permanent index when they're notable (years, primes, curated, etc.).

110,396 (one hundred ten thousand three hundred ninety-six) is an even 6-digit number. It is a composite number with 24 divisors, and factors as 2² × 11 × 13 × 193. Its proper divisors sum to 117,748, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x1AF3C.

Abundant Number Arithmetic Number Cube-Free Odious Number Pernicious Number Recamán's Sequence Semiperfect Number

Interestingness

Properties

Parity
Even
Digit count
6
Digit sum
20
Digit product
0
Digital root
2
Palindrome
No
Bit width
17 bits
Reversed
693,011
Recamán's sequence
a(78,135) = 110,396
Square (n²)
12,187,276,816
Cube (n³)
1,345,426,611,379,136
Divisor count
24
σ(n) — sum of divisors
228,144
φ(n) — Euler's totient
46,080
Sum of prime factors
221

Primality

Prime factorization: 2 2 × 11 × 13 × 193

Nearest primes: 110,359 (−37) · 110,419 (+23)

Divisors & multiples

All divisors (24)
1 · 2 · 4 · 11 · 13 · 22 · 26 · 44 · 52 · 143 · 193 · 286 · 386 · 572 · 772 · 2123 · 2509 · 4246 · 5018 · 8492 · 10036 · 27599 · 55198 (half) · 110396
Aliquot sum (sum of proper divisors): 117,748
Factor pairs (a × b = 110,396)
1 × 110396
2 × 55198
4 × 27599
11 × 10036
13 × 8492
22 × 5018
26 × 4246
44 × 2509
52 × 2123
143 × 772
193 × 572
286 × 386
First multiples
110,396 · 220,792 (double) · 331,188 · 441,584 · 551,980 · 662,376 · 772,772 · 883,168 · 993,564 · 1,103,960

Sums & aliquot sequence

As consecutive integers: 13,796 + 13,797 + … + 13,803 10,031 + 10,032 + … + 10,041 8,486 + 8,487 + … + 8,498 1,211 + 1,212 + … + 1,298
Aliquot sequence: 110,396 117,748 88,318 44,162 23,230 20,834 13,294 8,810 7,066 3,536 4,276 3,214 1,610 1,846 1,178 742 554 — unresolved within range

Continued fraction of √n

√110,396 = [332; (3, 1, 6, 4, 11, 1, 5, 3, 2, 2, 1, 2, 1, 25, 1, 5, 1, 2, 6, 1, 1, 1, 4, 2, …)]

Representations

In words
one hundred ten thousand three hundred ninety-six
Ordinal
110396th
Binary
11010111100111100
Octal
327474
Hexadecimal
0x1AF3C
Base64
Aa88
One's complement
4,294,856,899 (32-bit)
Scientific notation
1.10396 × 10⁵
As a duration
110,396 s = 1 day, 6 hours, 39 minutes, 56 seconds
In other bases
ternary (3) 12121102202
quaternary (4) 122330330
quinary (5) 12013041
senary (6) 2211032
septenary (7) 636566
nonary (9) 177382
undecimal (11) 75a40
duodecimal (12) 53a78
tridecimal (13) 3b330
tetradecimal (14) 2c336
pentadecimal (15) 22a9b

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓆐𓂍𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓏺𓏺𓏺𓏺𓏺𓏺
Greek (Milesian)
͵ριτϟϛʹ
Mayan (base 20)
𝋭·𝋯·𝋳·𝋰
Chinese
一十一萬零三百九十六
Chinese (financial)
壹拾壹萬零參佰玖拾陸
In other modern scripts
Eastern Arabic ١١٠٣٩٦ Devanagari ११०३९६ Bengali ১১০৩৯৬ Tamil ௧௧௦௩௯௬ Thai ๑๑๐๓๙๖ Tibetan ༡༡༠༣༩༦ Khmer ១១០៣៩៦ Lao ໑໑໐໓໙໖ Burmese ၁၁၀၃၉၆

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 110396, here are decompositions:

  • 37 + 110359 = 110396
  • 73 + 110323 = 110396
  • 127 + 110269 = 110396
  • 163 + 110233 = 110396
  • 277 + 110119 = 110396
  • 313 + 110083 = 110396
  • 337 + 110059 = 110396
  • 373 + 110023 = 110396

Showing the first eight; more decompositions exist.

Hex color
#01AF3C
RGB(1, 175, 60)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.1.175.60.

Address
0.1.175.60
Class
reserved
IPv4-mapped IPv6
::ffff:0.1.175.60

Unspecified address (0.0.0.0/8) — "this network" placeholder.

Possible US patent number

This number falls in the range of US utility patent numbers. If it's a patent, it would be issued as US 110,396 and was likely granted around 1871.

Patent numbers below 100,000 are excluded as too ambiguous; modern numbering currently reaches roughly 12.5 million.

Related reading

  • Mayan numerals — Vigesimal dots-and-bars with a shell zero — one of the earliest true zeros.